Geometric characterization of interpolation in the space of Fourier–Laplace transforms of ultradistributions of Roumieu type

• Autores: Piotr Zioło
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 62, Fasc. 2, 2011, págs. 161-172
• Idioma: inglés
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• Resumen

  • We give a geometric characterization of interpolating varieties for the algebra of Fourier–Laplace transforms of ultradistributions of Roumieu type with compact support on the real line in the non-quasianalytic case. In particular, such a characterization is found in the case of classical Gevrey classes. We also provide a relation between interpolating varieties in this case and in the case of Hörmander algebras related to ultradistributions of Beurling type.